Question

In an AC circuit, the current leads the voltage by \(\frac{\pi}{2}\) The circuit is _______.
Fill in the blank with the correct answer from the options given below

• A. purely resistive
• B. should have circuit elements with resistance equal to reactance.
• C. purely inductive
• D. purely capacitive

Answer 1

The Correct Option is D

Let's analyze the relationship between current and voltage in AC circuits:

• Purely Resistive Circuit: In a purely resistive circuit, the current and voltage are in phase (phase difference = 0).
• Purely Inductive Circuit: In a purely inductive circuit, the voltage leads the current by π/2 (90°).
• Purely Capacitive Circuit: In a purely capacitive circuit, the current leads the voltage by π/2 (90°).
• RL or RC Circuits: In circuits with both resistance and inductance or capacitance, the phase difference is between 0 and π/2.

Given that the current leads the voltage by π/2, the circuit must be purely capacitive.

The correct answer is:

Option 4: purely capacitive